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Published March 2012 | public
Book Section - Chapter

A new converse in rate-distortion theory

Abstract

This paper shows new finite-blocklength converse bounds applicable to lossy source coding as well as joint source-channel coding, which are tight enough not only to prove the strong converse, but to find the rate-dispersion functions in both setups. In order to state the converses, we introduce the d-tilted information, a random variable whose expectation and variance (with respect to the source) are equal to the rate-distortion and rate-dispersion functions, respectively.

Additional Information

© 2012 IEEE. This work was supported in part by the National Science Foundation (NSF) under Grant CCF-1016625 and by the Center for Science of Information (CSoI), an NSF Science and Technology Center, under Grant CCF-0939370. The first author was supported in part by the Natural Sciences and Engineering Research Council of Canada.

Additional details

Created:
August 19, 2023
Modified:
October 17, 2023